杨士林
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杨士林, 男, 教授, 理学博士, 博士生导师. 分别于1999年4月-2000年4月、 2005年2月-2006年2月在德国Bielefeld大学数学系、斯图加特大学数学系学习和访问. 分别在《Journal of Algebra》、《Communications inAlgebra》、《Algebra andRepresentation Theory》、《Letter in Mathematical Physics》、《Journal of Mathematical Physics》、《AlgebraColloquium》、《Journal of Algebra and its Application》、《中国科学》(中英文版)、《数学学报》(英文版)、《数学年刊》等国内外学术刊物上发表学术论文60余篇.承担并完成数项“国家自然科学基金”,“北京市自然科学基金”,“留学回国人员启动基金”、“北京市教委基金”、“留学回国人员科技活动择优资助优秀项目”、“教育部博士点基金”等项目.目前主持北京市自然科学基金等;承担国家自然科学基金两项.1998年获北京市高校优秀青年骨干教师称号, 2004年获北京工业大学十佳青年称号. 一、主要研究领域代数及其应用、代数表示论、量子群结构与表示、 Ringel-Hall代数、(弱) Hopf 代数等.培养学生情况(1)毕业的硕士研究生:1.王红2004年2.杨冬梅,高立2005年3.郭风军2006年4.刘建振,刘军丽2007年5.艾春瑞,吴克运2008年6.马潇,陈雪坤2009年7.赵丽艳,刘进财2010年8. 张嘉斌,谭晓军2011年9.梁凯,孙春燕2012年10. 许会转,李庆林2013年11. 刘薇薇,尚娟2014年12高雪琴2015年(2)在读的硕士研究生:孙双,张克青,王珍迎,杨瑞芳(3)毕业的博士研究生:刘军丽(2011), 陈佳蕾、侯波(2012)、许勇军(2013)、徐华博(2015)。(4)在读的博士研究生:高凤霞、高珍珍、程诚、苏冬近期论文
1] Finite dimensional representations of u-Hopf algebras. Comm. Algebra 29 (12), 2001, 5359- 5370. [2 ] Coxeter transformations in quantum groups. Algebr. Represent. Theory 4 (5), 2001, 491-501.(with J. Xiao)[3]BGP-reflection functors and Lusztig's symmetries: a Ringel-Hall algebra approach to quantumgroups. J. Algebra 241(2001), 204-246.(With J. Xiao)[4]Global dimension for Hopf actions. Comm. Algebra 30 (8), 2002, 3653-3667.[5]Finite-dimensional representations of quantum group Uq(f(K,H)) . Comm. Algebra 30 (5), 2002, 2191-2211.(with D. Wang, Q. Ji)[6]Representations of simple pointed Hopf algebras. J. Algebra Appl. 3(1), 2004, 91--104.[7]Quantum groups and deformations of preprojective algebras. J. Algebra 279 (1), 2004, 3--21. [8]Uqres(sl2)-invariant forms on their modules. Comm. Algebra 32(5), 2004, 1685--1703. (with D. Wang)[9]Quantum groups and double quiver algebras. Lett. Math. Phys. 71(2005), no. 1, 49--61. (with H. Huang).[10]Weak Hopf algebras corresponding to Cartan matrices. J. Math. Phys. 46(2005), no. 7, 073502, 18 pp.[11]Representations of weak Hopf algebras associated to cyclic quivers. Comm. Algebra. 33 (2005), 4321--4335 (with D. Wang).[12]Automorphism groups of pointed Hopf algebras. Front. Math. China 2(2007), no. 2, 305--316.[13]Representations of nonstandard Poincaré Hopf algebras. Comm. Algebra 36 (2008), no. 2, 732--748. (with Y. Yang).[14]Representations of deformed preprojective algebras and quantum groups. Sci. China Ser. A 52 (1), 2009, 109-118.(with J. Liu),[15]弱Hopf 超代数wslqd(m|n), 数学物理学报, 29(2009): 70--86. (with J. Liu).[16]Young tableaux and crystal base for Uq(osp(1|2n)), Sci. China Math. 53(2010):289-303. (with J.Liu).[17]Lusztig symmetries and automorphisms of quantum superalgebras Uq(osp(1|2r)),J. Algebra Appl. 9(2010):725-768.[18]Orthosymplectic quantum function superalgebras OSPq(2l +1|2n), Acta Math. Sinica (Engl. Ser.) 27(2011):983 -1004.(with J. Liu).[19]Skew group algebras of deformed preprojective algebras, J. Algebra, 332(2011):209-228. (with B. Hou)[20]Quantum superdeterminant of OSPq(1|2n), Front. Math. China. 6(2011):115-127. (with J. Liu).[21] Quantum superalgebras at root of unity, Front. Math. China 7 (2012), no. 4, 607–628. (with J. Chen).[22]Algebra automorphisms of two-parameter quantum superalgebras Ur,s(osp(1, 2, c)), Far East. J. Math. Sci. 64 (2012):63-80. (with J. Chen)[23]Restricted forms of quantum supergroups, J. Math. Phys. 53(4), 2012: 043505, 13 pages. (with J. Chen).[24]Elementary superalgebras. Algebra Colloq. 19(4), 2012, 673–682.(with B. Hou).[25]Liu, Junli; Yang, Shilin Lusztig symmetries and Poincare-Birkhoff-Witt basis for wUdr,s(osp(1|2n)). J. Math. Phys. 54 (12), 2013, 121704, 27 pp.[26]Xu, Yongjun; Yang, Shilin A categorification of the spin representation of U(so(7,C)) via projective functors. Comm. Algebra41(10), 2013, 3868–3888. [27]PBW-deformations of quantum groups. J. Algebra ,408 , 2014, 222–249. (With Xu, Y.)[28]Hochschild cohomology of the Z2-Galois covering of a class of quantum Koszul algebras. 数学年刊. Ser. A 35(4),2014, 385-398. (with B. Hou). [29]Generalized McKay quivers, root system and Kac-Moody algebras. J. Korean Math. Soc.52(2), 2015, 239–268.(with B. Hou). [30]Gorenstein theory for n-th differential modules. Period. Math. Hungar.71 (1), 2015, 112–124. (with H. Xu, et.la).[31]Two-parameter Quantum Superalgebras and PBW Theorem, Algebra Colloq. 23(2), 2016, 303-324. (with C. Ai).[32]H-simple module algebras for eight-dimensional non-semisimple Hopf algebras, Journal of Algebra and Its Applications,15(7), 2016, 1650134 (25 pages). (with F. Gao).美国《数学评论》、德国《数学评论》评论员;国际杂志《Algebra》编委. 相关热点